Loop quantum cosmology in Bianchi type I models: Analytical investigation

Absence of preclassical solutions in Bianchi I loop quantum cosmology.

Loop quantum cosmology, the symmetry reduction of quantum geometry for the study of various cosmological situations, leads to a difference equation for its quantum evolution equation. To ensure that solutions of this equation act in the expected classical manner far from singularities, additional restrictions are imposed on the solution. In this Letter, we consider the Bianchi I model, both the...

The Bianchi IX model in Loop Quantum Cosmology

Martin Bojowald, ∗ Ghanashyam Date, † and Golam Mortuza Hossain ‡ Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany The Institute of Mathematical Sciences CIT Campus, Chennai-600 113, INDIA. Abstract The Bianchi IX model has been used often to investigate the structure close to singularities of general relativity. Its classical chaos is...

Towards inhomogeneous loop quantum cosmology: triangulating Bianchi IX with perturbations

Loop Quantum Cosmology I: Kinematics

The framework of quantum symmetry reduction is applied to loop quantum gravity with respect to transitively acting symmetry groups. This allows to test loop quantum gravity in a large class of minisuperspaces and to investigate its features – e.g. the discrete volume spectrum – in certain cosmological regimes. Contrary to previous studies of quantum cosmology (minisuperspace quantizations) the ...

Bianchi-type string cosmology

Bianchi-type string cosmology involves generalizations of the FRW backgrounds with three transitive spacelike Killing symmetries, but without any a priori assumption of isotropy in the 3D sections of homogeneity. With emphasis on those cases with diagonal metrics and vanishing cosmological constant which have not been previously examined in the literature, the present findings allow an overview...